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In: Statistics and Probability

Your probability professor has been dedicating part of the time she used to spend commuting to...

Your probability professor has been dedicating part of the time she used to spend commuting to doing longer yoga practices. She took a random sample of her yoga practices since Hofstra has ceased in-person classes and found 3 under ten minutes and 19 over ten minutes. Construct a 99% confidence interval for the proportion of her yoga practices that will be over ten minutes given her current lifestyle.

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Expert Solution

We need to construct the 99% confidence interval for the population proportion. We have been provided with the following information about the number of favorable cases:

Favorable Cases X = 19
Sample Size N = 22

The sample proportion is computed as follows, based on the sample size N=22 and the number of favorable cases X=19:

The critical value for α=0.01 is . The corresponding confidence interval is computed as shown below:

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

orchestra answered 3 years ago
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